Formal theory of cornered asymptotically hyperbolic Einstein metrics

DOI10.1007/s12220-018-0067-6zbMath1423.53060arXiv1708.02390OpenAlexW2963274592WikidataQ129478547 ScholiaQ129478547MaRDI QIDQ2318018

Stephen E. McKeown

Publication date: 13 August 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02390

zbMATH Keywords

conformal geometryEinstein metricsmanifolds with cornersconformal hypersurface invariants

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local Riemannian geometry (53B20) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items

Scattering on singular Yamabe spaces ⋮ The mass of an asymptotically hyperbolic manifold with a non-compact boundary ⋮ Geometry of bounded critical phenomena ⋮ Causal structures and nonlocality in double holography

Uses Software

• DLMF

Cites Work

• Analyse sur un demi-espace hyperbolique et poly-homogénéité locale
• Partial differential equations. I: Basic theory
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Einstein metrics with prescribed conformal infinity on the ball
• Scattering matrix in conformal geometry
• Central charges for BCFTs and holography
• The Ambient Metric (AM-178)
• Elliptic theory of differential edge operators I
• Exponential map and normal form for cornered asymptotically hyperbolic metrics
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